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Finding the Fourth Proportional to 8,052.37, 12,082.41 and 4,156.77

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Solution

The fourth proportional to 8,052.37, 12,082.41 and 4,156.77 is: 6,237.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.37 : 12,082.41 = 4,156.77 : x
  2. Step 2: Convert to fraction form
    8,052.37/12,082.41 = 4,156.77/x
  3. Step 3: Cross multiply
    8,052.37x = 12,082.41 × 4,156.77
  4. Step 4: Simplify right side
    8,052.37x = 50,223,799.42
  5. Step 5: Solve for x
    x = 50,223,799.42/8,052.37
  6. Step 6: Final answer
    x = 6,237.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.